Information on Result #523750
There is no (14, 73, 300)-net in base 9, because extracting embedded orthogonal array would yield OA(973, 300, S9, 59), but
- the linear programming bound shows that M ≥ 1 614101 122438 959728 032296 527149 036613 313308 091685 900917 564175 128363 509302 839919 698145 931112 844353 107270 413137 301739 823669 900419 290955 676179 838258 478042 347288 383560 325865 / 318 549167 038685 476261 913473 617729 234340 696246 391414 497686 399246 827710 136381 692237 275059 607150 040103 > 973 [i]
Mode: Bound.
Optimality
Show details for fixed k and m, k and s, k and t, m and s, m and t, t and s.
Other Results with Identical Parameters
None.
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | No (14, 74, 300)-net in base 9 | [i] | m-Reduction | |
| 2 | No (14, 75, 300)-net in base 9 | [i] | ||
| 3 | No (14, 76, 300)-net in base 9 | [i] | ||
| 4 | No (14, 77, 300)-net in base 9 | [i] | ||
| 5 | No (14, 78, 300)-net in base 9 | [i] | ||
| 6 | No (14, 79, 300)-net in base 9 | [i] | ||
| 7 | No (14, 80, 300)-net in base 9 | [i] | ||